Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th September 2005
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).
- 3Completing the Square3 marks
Write x^2 - 8x - 3 in the form (x + a)^2 + b.
- 4Velocity Time Graphs3 marks
A tram runs at 18 m/s for 20 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + b and vector RS = 4a + 2b. What does this show about PQ and RS?
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